Answer:
The answer is A) 1/8^2
Step-by-step explanation:
Both of the equations simplified equal 1/64.
That would make the new coordinates (2, -3). The y coordinate would then be -3.
Answer:
d. 42 degrees
Step-by-step explanation:
y and 92 are supplemetary angles, which means they both add up to 180 since they are on the straight line.
Hence,
y+92 = 180
y = 180-92
y=88
And now we also know that all the angles of a traingle add up to 180,
so, we can simply find the x by:
88+x+50 =180
138 + x =180
x = 180-138
x = 42
Hope this helps!
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Answer:
![r = 0.8903](https://tex.z-dn.net/?f=r%20%3D%200.8903%20)
Step-by-step explanation:
given,
a₂ = 495
a₆ = 311
geometric sequence formula
![a_n = ar^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%20ar%5E%7Bn-1%7D)
![a_2 = ar^{2-1}](https://tex.z-dn.net/?f=a_2%20%3D%20ar%5E%7B2-1%7D)
...................(1)
![a_6 = ar^{6-1}](https://tex.z-dn.net/?f=a_6%20%3D%20ar%5E%7B6-1%7D)
................(2)
dividing equation (2) by (1)
![\dfrac{a_6}{a_2} = \dfrac{ar^5}{ar}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba_6%7D%7Ba_2%7D%20%3D%20%5Cdfrac%7Bar%5E5%7D%7Bar%7D)
![\dfrac{311}{495} = r^4](https://tex.z-dn.net/?f=%5Cdfrac%7B311%7D%7B495%7D%20%3D%20r%5E4)
![r^4 = 0.628](https://tex.z-dn.net/?f=r%5E4%20%3D%200.628%20)
![r = 0.8903](https://tex.z-dn.net/?f=r%20%3D%200.8903%20)
hence, the common ratio of the geometric sequence is ![r = 0.8903](https://tex.z-dn.net/?f=r%20%3D%200.8903%20)
F=\dfrac{9}{5}C+32\\\\A.\\\dfrac{9}{5}C+32=F\ \ \ |-32\\\\\dfrac{9}{5}C=F-32\ \ \ |\cdot\dfrac{5}{9}\\\\C=\dfrac{5}{9}(F-32)
B.\\F=212\to C=\dfrac{5}{9}(212-32)=\dfrac{5}{9}\cdot180=100\\\\212^oF=100^oC
C.\\F=80\to C=\dfrac{5}{9}(80-32)=\dfrac{5}{9}\cdot48\approx26.7\\\\80^oF\approx26.7^oC